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arXiv · 2407.10522

The homology of additive functors in prime characteristic

Aurélien Djament·Antoine Touzé
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Abstract

We compute certain Ext and Tor groups in the category of all functors from an Z/p-linear additive category A to vector spaces in terms of Ext and Tor computed in the full subcategory of additive functors from A to vector spaces. We thus obtain group homology computations for general linear groups.

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Aurélien Djament, Antoine Touzé. 2024-07-15. The homology of additive functors in prime characteristic. https://arxiv.org/abs/2407.10522

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